Quantitative Aptitude - Arithmetic Ability Questions

What will come in the place of question mark (?) in the following question (You do not have to calculate the exact value)?

53.01 - 345.02 ÷ 22.99 = 2 ×(?)

20% discount is offered on an item. By applying a promo code the customer wins 10% cash back. What is the effective discount?

The least value of tan2x + cot2x is

The point P(a, b) is first reflected in origin to P1 and P1 is reflected in Y-axis to (4, -3). What are the co-ordinates of point P?

ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?

A,B and C together start a business. Three times the investment of A equals four times the Investment of B and the Capital of B is twice that of C. The ratio of share of each in the profit.

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

The area of the largest triangle that can be inscribed in a semicircle of radius 6m is